Born in Nantes, Ramé started playing professionally with SCO Angers, making his Ligue 1 debut in 1993–94 but being immediately relegated.

Two years later the Maine-et-Loire club dropped down another division, but the player returned to the top flight the following season, signing for FC Girondins de Bordeaux.

[citation needed] After 23 appearances in his debut campaign, helping his team finish fifth and reach the domestic League Cup final the following year, Ramé became Bordeaux's undisputed first-choice.

He was subsequently picked for the final stages' squad, with the national team winning the tournament; after Bernard Lama's international retirement, he became second-choice.

Again as a backup, he represented the nation in the 2002 FIFA World Cup, also in South Korea; after making a blunder against Czech Republic on 12 February 2003, however, he fell out of favor with manager Jacques Santini and was not recalled again.